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Finding the Fourth Proportional to 9,768.96, 14,645.22 and 3,191.56

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Solution

The fourth proportional to 9,768.96, 14,645.22 and 3,191.56 is: 4,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.96 : 14,645.22 = 3,191.56 : x
  2. Step 2: Convert to fraction form
    9,768.96/14,645.22 = 3,191.56/x
  3. Step 3: Cross multiply
    9,768.96x = 14,645.22 × 3,191.56
  4. Step 4: Simplify right side
    9,768.96x = 46,741,098.34
  5. Step 5: Solve for x
    x = 46,741,098.34/9,768.96
  6. Step 6: Final answer
    x = 4,784.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.